On topological types of reduced sextics

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Abstract

We present a computational method for obtaining generic forms of sextics with a given configuration of local singularities. Using this method, we first complete the classification of topological types of local singularities appearing on reduced sextics. Next we give the list of possible configurations of singularities containing at least one non-simple singularity and satisfying ρ(5)≥7, and show that such a sextic is of torus type, which has been conjectured by the third author.

Journal

  • Kodai Mathematical Journal

    Kodai Mathematical Journal 27(3), 237-260, 2004

    Department of Mathematics, Tokyo Institute of Technology

Codes

  • NII Article ID (NAID)
    130003574463
  • Text Lang
    ENG
  • ISSN
    0386-5991
  • Data Source
    J-STAGE 
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